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Finding the Fourth Proportional to 411,605.76, 617,519.48 and 211,817.24

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Solution

The fourth proportional to 411,605.76, 617,519.48 and 211,817.24 is: 317,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,605.76 : 617,519.48 = 211,817.24 : x
  2. Step 2: Convert to fraction form
    411,605.76/617,519.48 = 211,817.24/x
  3. Step 3: Cross multiply
    411,605.76x = 617,519.48 × 211,817.24
  4. Step 4: Simplify right side
    411,605.76x = 130,801,271,899.84
  5. Step 5: Solve for x
    x = 130,801,271,899.84/411,605.76
  6. Step 6: Final answer
    x = 317,782.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.